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Finding the Fourth Proportional to 32,176.69, 48,271.08 and 12,192.16

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Solution

The fourth proportional to 32,176.69, 48,271.08 and 12,192.16 is: 18,290.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,176.69 : 48,271.08 = 12,192.16 : x
  2. Step 2: Convert to fraction form
    32,176.69/48,271.08 = 12,192.16/x
  3. Step 3: Cross multiply
    32,176.69x = 48,271.08 × 12,192.16
  4. Step 4: Simplify right side
    32,176.69x = 588,528,730.73
  5. Step 5: Solve for x
    x = 588,528,730.73/32,176.69
  6. Step 6: Final answer
    x = 18,290.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.